Answer:
2x+1
Step-by-step explanation:
<span>Two problems such as 150,000 + 150,000 = 300,001 and 500,000 - 200,000 = 300,000 could show that two problems can give the same result. A third could be 400,000 - 148,000 = 252,000 but rounds to 300,000 when rounded. All three give the same result when rounded to the nearest hundred thousand.</span>
Answer:
Steps 3 and 4 are incorrect because
(a) An incorrect value for slope was obtained in step 3.
(b) The incorrect value for the slope was used in step 4.
Explanation:
Let us evaluate Talia's steps.
Step 1: Select (2, 5) as a point on the line.
CORRECT
Step 2: Select another point (1, 3) on the line.
CORRECT
Step 3: Count units to the right and count units up, to determine the slope.
Units right = 2 - 1 = 1
Units up = 5 - 3 = 2
Slope = (Units up)/(Units right) = 2/1 = 2
INCORRECT because Talia did not obtain a slope of 2.
Step 4: Substitute obtained values in the point-slope form.
(y - y1) = m(x - x1). If we select the point (1, 3), then
y - 2 = 2(x - 1).
Talia's equation is INCORRECT because she used an incorrect value
for the slope.
(a) The perimeter of the shape is the sum of half a circumference and the diameter itself.
The circumference of a circle with radius 
is 
, and since 
we can write the circumference as
So, half a circumference is
Ad we get the perimeter by addind the diameter:
(b) Given the perimeter, we can solve for 
:
So, we can divide both sides by the parenthesis and we have
